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Proofs that Really Count

Name: Proofs that Really Count
Brand: Mathematical Association of America
SKU: 02049860
Price: 50.87 EUR
Availability: InStock
Author: Arthur T. BenjaminJennifer J. Quinn
ISBN: 9780883853337

The Art of Combinatorial Proof

Arthur T. BenjaminJennifer J. Quinn

Jezik

Angleščina

Knjiga Trda

Koda Libristo: 02049860

Založba Mathematical Association of America, november 2003

Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and... Celoten opis

Koda Libristo: 02049860

123 b

50.87 €

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Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.